Mathematics is integral part of life. Everything we do is governed by it; from refitting a bathroom to working out your tax to engineering a bridge. At Saint Martin’s teaching the skills required is the main focus. Problem solving and application can only be learned once mathematical skill has been mastered.

Mathematics is the language with which God wrote the universe — Galileo

Students undertake a 5 year “Stage not Age” program which varies based on their starting point. Students will develop their fluency and skills through a coherent sequencing of topics. The connections between some topics will be explicit, while others may be introduced during the teaching. Not all topics are intended to build on the most immediate previous topic – this is so that students in all years are provided with a rich, stimulating diet of mathematical ideas.

Students undertake a 5 year “Stage not Age” program which varies based on their starting point. Students will develop their fluency and skills through a coherent sequencing of topics. The connections between some topics will be explicit, while others may be introduced during the teaching. Not all topics are intended to build on the most immediate previous topic – this is so that students in all years are provided with a rich, stimulating diet of mathematical ideas.

The majority of students will cover the following in Year 7:

The Number System:

- Factors, Multiples Primes and Special number sequences
- Place Value, and Arithmetic of Integers and Directed numbers
- Working with Fractions, Decimals and Percentages
- Understand and use Ratios
- Checking and Estimating

Algebra:

- Notation, language and simplifying expressions
- Solving simple equations and using formulae
- Working with Sequences, including special number sequences
- Plotting coordinates and graphs

Geometry:

- 2D Shapes and their properties.
- Angle Facts and applying them.
- Perimeter and Area of shapes such as quadrilaterals
- Volume of cubes and cuboids
- Introduction to Constructions and Loci
- Metric measure and accuracy
- Introduction to Coordinate Transformation

Probability:

- Probability as a value in different forms
- Theoretical probability
- Probability experiments

Statistics:

- Representing different types of data
- Analysing listed data

The majority of students will cover the following in Year 8:

The Number System:

- HCF, LCM, Prime Factors
- Percentage change
- Fractions in Ratios
- Unitary Method
- Checking and Estimating

Algebra:

- Indices and Roots
- Solving simple equations and using formulae
- Linear sequences and creating them.
- Linear and Curved graphs

Geometry:

- 2D Shapes, 3D objects and their properties.
- Angles Facts in Parallel Lines and Polygons
- Circle measures and calculations
- Volume and Surface Area of Prisms
- Speed, Distance and Time
- Constructions and Loci
- Metric measure and accuracy
- Pythagoras’ Theorem
- Coordinate Transformations

Probability:

- Probability of more than one event.
- Experimental Probability

Statistics:

- Representing different types of data
- Analysing tabled data

The majority of students will cover the following in Year 9:

The Number System:

- HCF, LCM, Prime Factors
- Compound Interest and Percentage change
- Fractions in Ratios
- Unitary Method
- Checking and Estimating

Algebra:

- Expanding and Factorising Double Brackets
- Laws of Indices, and Standard Form
- Solving simple equations and using formulae
- Geometric, quadratic and Fibonacci sequences.
- Using y=mx+c
- Interpreting data from Graphs
- Solving Linear Simultaneous equations
- Using Inequalities

Geometry:

- 2D Shapes, 3D objects and their properties.
- Area and Perimeter of Rectilinear and Composite Shapes
- Angles and Bearings
- Circle Theorems
- Volume and Surface Area of Prisms
- Compound Measures
- Complex Constructions and Loci
- Metric measure and accuracy
- Pythagoras’ Theorem in 3D
- The Trigonometric Ratios
- Similarity and Congruence
- Coordinate Transformations

Probability:

- Probability of more than one event.
- Experimental Probability
- Independent and Dependent Events

Statistics:

- Representing different types of data
- Analysing tabled data

Year 10 Foundation:

The Number System:

- Review of HCF, LCM, Prime Factors
- Compound Interest and Reverse percentages
- Review and apply ratios
- Unitary Method and finding the best value
- Checking and Estimating

Algebra:

- Expanding and Factorising Double Brackets
- Laws of Indices, and Standard Form
- Solving simple equations and using formulae
- Geometric, quadratic and Fibonacci sequences.
- Using y=mx+c
- Plot and Interpret Curved Graphs such as Quadratics
- Interpreting data from Graphs
- Solving Linear Simultaneous equations, and approximate on a Graph
- Using Inequalities

Geometry:

- 2D Shapes, 3D objects and their properties including Plans and Elevations
- Area and Perimeter of Rectilinear and Composite Shapes
- Angles and Bearings
- Circle Theorems
- Volume and Surface Area of Prisms and Cylinders
- Compound Measures
- Complex Constructions and Loci
- Metric measure and accuracy
- Pythagoras’ Theorem in 3D
- Similarity and Congruence
- Coordinate Transformations

Probability:

- Probability of more than one event.
- Experimental Probability
- Independent and Dependent Events
- Tree Diagrams

Statistics:

- Sampling
- Representing different types of data
- Analysing tabled data

Year 11 Foundation:

The Number System:

- Problem Solving with Ratio and Proportion

Algebra:

- Expanding and Factorising Double Brackets
- Solving Linear Simultaneous equations, and approximate on a Graph
- Using Inequalities
- Direct and Inverse Proportion

Geometry:

- Constructions and Loci Knowledge Application
- Applying Pythagoras’ Theorem
- The Trigonometric Ratios and their application
- Similarity and Congruence
- Using and Applying Vectors

Recap and Revision of Probability

Statistics:

- Revision of Analysing Data
- Representing different types of data including Scatter Graphs

Year 10 Higher:

The Number System:

- Solving Problems with Ratio and Proportion
- Estimation and Bounds

Algebra:

- Surd Calculation
- Further Laws of Indices, and Standard Form Arithmetic
- Completing the Square, The Quadratic Formula and Sketching Graphs
- Finding rules quadratic sequences.
- Using y=mx+c, to calculate Parallel and Perpendicular lines
- Solving Simultaneous equations with Quadratics, and approximate on a Graph
- Solving Inequalities and representing on a Graph
- Direct and Inverse Proportion

Geometry:

- Pythagoras’ Theorem and Trigonometry in 3D
- Similarity and Congruence with Area and Volume
- Coordinate Transformations and Similarity

Probability:

- Unconditional and Conditional Probability

Statistics:

- Cumulative Frequency Diagrams
- Scatter Graphs

Year 11 Higher:

The Number System and Algebra:

- Algebraic Fractions
- Proof
- Iteration and Numerical Methods
- Coordinates and Graphs of Circles and Trigonometric Functions
- Quadratics, Cubics and Identities
- Area under a Curved Graph and Rates of Change
- Solving Simultaneous equations with Quadratics, and approximate on a Graph
- Function Notation and Transforming Graphs
- Quadratic Inequalities

Geometry:

- Area and Perimeter Composite Shapes
- Further Circle Theorems
- Volume and Surface Area of Spheres, Cones and Frustrums
- Coordinates and Graphs of Circles and Trigonometric Functions
- Non- Right Angled Trigonometry
- Vector Geometry

Recap and Review of Probability and Probability Diagrams

Recap and Revision of Analysing and Using Statistics

Students in the top set in Year 11 also study towards the AQA Level 2 Further Maths qualification.

In addition to our classroom activities, Saint Martin’s enters students the following individual competitions:

- Senior Maths Challenge
- Mathematical Olympiad for Girls
- Intermediate Maths Challenge
- Junior Maths Challenge

We usually have some students who will get through to the at least one of the follow up rounds (called Kangaroos) and sometimes the “Olympiad”.

We also enter the following Team competitions:

- Senior Team Maths Challenge – (competing against A-level students)
- Year 10 Maths Feast
- Junior Team Maths Challenge

Saint Martin’s funds the entry into these competitions and provides suitable training for those we enter.

This reflects our commitment to produce as many top quality mathematicians as possible.